Atkin-Lehner |
2+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60016b |
Isogeny class |
Conductor |
60016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-102175446781936 = -1 · 24 · 118 · 313 |
Discriminant |
Eigenvalues |
2+ 0 -3 -5 11- 6 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14399,823889] |
[a1,a2,a3,a4,a6] |
j |
-11647819008/3604711 |
j-invariant |
L |
1.1301331251411 |
L(r)(E,1)/r! |
Ω |
0.56506656231875 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30008h1 5456b1 |
Quadratic twists by: -4 -11 |